A note on metrics induced by copulas

被引：7
作者：
Ouyang, Yao [1 ]
机构：
[1] Huzhou Teachers Coll, Fac Sci, Huzhou 313000, Zhejiang, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2012年 / 191卷
关键词：
Fuzzy connectives and aggregation operators; Copula; Triangular norm; Additive generator; Metric;
D O I：
10.1016/j.fss.2011.08.003
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this short note, we provide a continuous triangular norm that is not a copula and that generates a metric. Thus, the 9th open problem collected in Alsina et al. [Associative Functions: Triangular Norms and Copulas, World Scientific Publishing Company, Singapore, 2006] has a negative answer. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：122 / 125
页数：4
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